GCD of 756, 916, 221, 188 Calculator

Given Input numbers are 756, 916, 221, 188

In the factoring method, we have to find the divisors of all numbers

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (756, 916, 221, 188) = 1.

Given numbers are 756, 916, 221, 188

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 916 are 2 x 2 x 229

Prime factors of 221 are 13 x 17

Prime factors of 188 are 2 x 2 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 756, 916, 221, 188

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(756, 916) = 173124

GCD(756, 916) = ( 756 x 916 ) / 173124

= 756 / 916

= 756

Step2:

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

= 4 / 221

= 4

Step3:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1

So, Greatest Common Divisor of 756, 916, 221, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 228, 984, 160
• GCD of 488, 571, 669, 105
• GCD of 884, 649, 822, 134
• GCD of 959, 139, 445, 647
• GCD of 528, 515, 186, 134

Given numbers are 756, 916, 221, 188
The greatest common divisor of numbers 756, 916, 221, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 916, 221, 188 is 1.

1. What is the GCD of 756, 916, 221, 188?

GCD of given numbers 756, 916, 221, 188 is 1

2. How to calculate the greatest common divisor of 756, 916, 221, 188?

We can find the highest common divisor of 756, 916, 221, 188 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 756, 916, 221, 188 i.e 1.

3. How can I use the GCD of 756, 916, 221, 188Calculator?

Out the numbers 756, 916, 221, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.